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Popular >

expand (2+dt)^3

Solution

expand

(2 + d t)^{3}

Solution

8 + 12 d t + 6 d t^{2} + d t^{3}

Solution steps

(2 + d t)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

a = 2, b = d t

= 2^{3} + 3 \cdot 2^{2} d t + 3 \cdot 2 d t^{2} + d t^{3}

Simplify

2^{3} + 3 \cdot 2^{2} d t + 3 \cdot 2 d t^{2} + d t^{3} : 8 + 12 d t + 6 d t^{2} + d t^{3}

= 8 + 12 d t + 6 d t^{2} + d t^{3}

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Frequently Asked Questions (FAQ)

What is expand (2+dt)^3 ?
The solution to expand (2+dt)^3 is 8+12dt+6dt^2+dt^3